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Finding the Third Proportional to 449,410 and 983,268

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Solution

The third proportional to 449,410 and 983,268 is: 2,151,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,410 : 983,268 = 983,268 : x
  2. Step 2: Convert to fraction form
    449,410/983,268 = 983,268/x
  3. Step 3: Cross multiply
    449,410x = 983,268 × 983,268
  4. Step 4: Simplify right side
    449,410x = 966,815,959,824
  5. Step 5: Solve for x
    x = 966,815,959,824/449,410
  6. Step 6: Final answer
    x = 2,151,300.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.